Greatest Common Factor of 4978/579, 4802/5059

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4978/579, 4802/5059

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 4978/579,4802/5059

Given fractions are 4978/579,4802/5059

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4978,4802

Greatest Common Factor of Numerators i.e. GCF of 4978,4802 is 2 .

LCM of Denominators means LCM of 579,5059 as per the given fractions.

LCM of 579,5059 is 2929161 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4978,4802

GCF of Fractions 4978/579,4802/5059 is 2/2929161

2 4978, 4802
2489, 2401

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4978,4802 By Matching Biggest Common Factor Method

Greatest Common Factor of 4978,4802 By Matching Biggest Common Factor Method

Factors of 4978

List of positive integer factors of 4978 that divides 4978 without a remainder.

1,2,19,38,131,262,2489,4978

Factors of 4802

List of positive integer factors of 4802 that divides 4802 without a remainder.

1,2,7,14,49,98,343,686,2401,4802

Greatest Common Factor

We found the factors 4978,4802 . The biggest common factor number is the GCF number.
So the greatest common factor 4978,4802 is 2.

Lets's calculate LCM of 579,5059

Given numbers has no common factors except 1. So, there LCM is their product i.e 2929161

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2929161

Therefore, the GCF of Fractions 4978/579,4802/5059 is 2/2929161

Least Common Multiple of 579,5059 with GCF Formula

Least Common Multiple of 579,5059 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 579,5059 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(579,5059) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(579,5059) x common factors =1 x 1 = 1

LCM(579,5059) = ( 579 × 5059 ) / 1

LCM(579,5059) = 2929161 / 1

LCM(579,5059) = 2929161


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4978/579, 4802/5059

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 4978/579, 4802/5059?

Answer: GCF of Numerators as per given numbers 4978/579, 4802/5059 is

GCF of Numerators i.e. for 4978,4802 is 2

LCM of denominators i.e. for 579,5059 is 2929161.

Thus, GCF of Fractions is 2/2929161.Finally, GCF of Fractions for 4978/579, 4802/5059 is 2/2929161.